I still do not understand why giac is not even mentionned in the
symbolic discussion considering the fact that like ginac, it is a C++
library, but unlike ginac (Ginac Is Not A Cas), giac (Giac Is A Cas)
has much more advanced calculus functions (either functionnalities
like limits, integration) and good benchmarks. I thought sage was an
effort to build a free alternative to maple or mathematica and that
collaboration between projects having this goal would prevail, not
competition (how much time lost duplicating the functionnalities
already available in giac for pynac?).
By the way, I installed in ~parisse on sage the 64 bits binaries
version of giac (icas) and xcas so that everybody can test benchmarks.
Unfortunately a few system libraries on sage have bad rights, e.g.
libstdc++.so.6 is rw instead of rwx, hence one must run
 export LD_LIBRARY_PATH=~parisse
before running
 ~parisse/icas
For example
g:=(x+y+z+1)^20; h:=(x-y+2z-2)^20; time(r:=normal(g*h));
time(factor(r));

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